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A sonometer wire resonates with a given ...

A sonometer wire resonates with a given tuning fork forming a standing wave with five antinodes between the two bridges when a mass of `9 kg` is suspended from the wire. When this mass is replaced by a mass 'M' kg, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. Find the value of `M`.

A

25

B

20

C

15

D

10

Text Solution

Verified by Experts

The correct Answer is:
A

`f=(sqrt((9g)/(mu)))/((2l)/(5))`
`f=(sqrt((Mg)/(mu)))/((2l)/(3))rArr f=(sqrt((9g)/(mu)))/((2l)/(5))=(sqrt((Mg)/(mu)))/((2l)/(3))rArr sqrt(M)=5`.
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ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
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